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Worksheet: Straight Line Equations in Vector Form

Q1:

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

  • A
  • B
  • C
  • D
  • E

Q2:

Consider the line through the point and perpendicular to vector . Which of the following is a vector equation of this line?

  • A
  • B
  • C
  • D
  • E

Q3:

Find the vector form of the equation of the straight line passing throught the point and parallel to the straight line passing through the two points and .

  • A
  • B
  • C
  • D

Q4:

Which of the following can be the vector form of the equation of the straight line , where and ?

  • A
  • B
  • C
  • D
  • E

Q5:

Write the vector equation of the straight line that passes through the point 6 , 9 with direction vector 9 , 2 .

  • A K r = 6 , 9 + 9 , 2
  • B r K = 9 , 2 + 6 , 9
  • C K r = 9 , 2 + 6 , 9
  • D r K = 6 , 9 + 9 , 2

Q6:

Which of the following can be the vector form of the equation of the straight line , where and ?

  • A
  • B
  • C
  • D
  • E

Q7:

Find the vector equation of the straight line passing through the origin and the point .

  • A
  • B
  • C
  • D

Q8:

Find the vector equation of the straight line passing through the origin and the point .

  • A
  • B
  • C
  • D

Q9:

Find the vector equation of the straight line passing through the origin and the point .

  • A
  • B
  • C
  • D

Q10:

Find the vector equation of the straight line passing through the points and .

  • A
  • B
  • C
  • D

Q11:

Find the vector equation of the straight line passing through the points and .

  • A
  • B
  • C
  • D

Q12:

Find the vector equation of the straight line whose slope is and passes through the point .

  • A
  • B
  • C
  • D

Q13:

Find the vector equation of the straight line whose slope is and passes through the point .

  • A
  • B
  • C
  • D

Q14:

Find the vector equation of the straight line whose slope is and passes through the point .

  • A
  • B
  • C
  • D